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Finding the Fourth Proportional to 7,231.80, 10,847.70 and 6,405.60

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Solution

The fourth proportional to 7,231.80, 10,847.70 and 6,405.60 is: 9,608.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.80 : 10,847.70 = 6,405.60 : x
  2. Step 2: Convert to fraction form
    7,231.80/10,847.70 = 6,405.60/x
  3. Step 3: Cross multiply
    7,231.80x = 10,847.70 × 6,405.60
  4. Step 4: Simplify right side
    7,231.80x = 69,486,027.12
  5. Step 5: Solve for x
    x = 69,486,027.12/7,231.80
  6. Step 6: Final answer
    x = 9,608.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.